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Finding the Fourth Proportional to 20,431.50, 30,647.25 and 6,580.50

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Solution

The fourth proportional to 20,431.50, 30,647.25 and 6,580.50 is: 9,870.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,431.50 : 30,647.25 = 6,580.50 : x
  2. Step 2: Convert to fraction form
    20,431.50/30,647.25 = 6,580.50/x
  3. Step 3: Cross multiply
    20,431.50x = 30,647.25 × 6,580.50
  4. Step 4: Simplify right side
    20,431.50x = 201,674,228.63
  5. Step 5: Solve for x
    x = 201,674,228.63/20,431.50
  6. Step 6: Final answer
    x = 9,870.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.